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Finding the Fourth Proportional to 8,500.68, 11,732.28 and 4,965.96

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Solution

The fourth proportional to 8,500.68, 11,732.28 and 4,965.96 is: 6,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.68 : 11,732.28 = 4,965.96 : x
  2. Step 2: Convert to fraction form
    8,500.68/11,732.28 = 4,965.96/x
  3. Step 3: Cross multiply
    8,500.68x = 11,732.28 × 4,965.96
  4. Step 4: Simplify right side
    8,500.68x = 58,262,033.19
  5. Step 5: Solve for x
    x = 58,262,033.19/8,500.68
  6. Step 6: Final answer
    x = 6,853.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.